Toner Estimation Mechanism

1. A non-transitory computer-readable medium including instructions, which when executed, causes a processor to perform: characterizing a range of spatial frequencies at a printer, wherein each spatial frequency correlates with a measured weight of toner; creating a best-fit model between the printer characterization and a model exponential function, including: convolving each test image with a convolution kernel that corresponds to the model exponential function to produce an initial toner usage estimate for each pel; receiving a print job at the printer; and estimating a quantity of toner to be used to print the print job by processing each image of each page of the print job with the best-fit model.

2. The computer-readable medium of claim 1 wherein characterizing the range of spatial frequencies is performed by analyzing a quantity of toner used to print one or more test images.

3. The computer-readable medium of claim 2 wherein creating the best-fit model comprises inverting printed pixels (pels) for each of the one or more to a value of 1.

4. The computer-readable medium of claim 1 wherein creating the best-fit model further comprises applying a correction to the toner usage deposition values to convert negative values to zero.

5. The computer-readable medium of claim 4 wherein creating the best-fit model further comprises performing a sum operation on the toner deposition values to represent an estimate of the total toner usage for the test image when printed.

6. The computer-readable medium of claim 5 wherein creating the best-fit model further comprises performing non-linear optimization on the total toner usage estimate to determine the best model parameters.

7. The computer-readable medium of claim 5 wherein creating the best-fit model further comprises comparing the total toner usage estimate and the quantity of toner used to print the test image.

8. The computer-readable medium of claim 1 wherein the processing of each image comprises: receiving a TIFF file representing an image bitmap; complementing bits in the TIFF file; computing a convolution kernel; and performing a convolution with the image bitmap.

9. A system comprising: a processor to process print jobs; and a memory device to store a toner estimation unit executed by the processor to characterize a range of spatial frequencies at a printer, wherein each spatial frequency correlates with a measured weight of toner, create a best-fit model between the printer characterization and a model exponential function, estimate a quantity of toner to be used to print the print job by processing each image of each page of the print job with the best-fit, wherein the frequency analysis performed for each image comprises receiving a TIFF file representing an image bitmap, complementing bits in the TIFF file, computing a convolution kernel and performing a convolution with the image bitmap.

10. The system of claim 9 wherein characterizing the range of spatial frequencies is performed by analyzing a quantity of toner used to print one or more test images.

11. The system of claim 9 wherein creating the best-fit model comprises applying a correction to the toner usage deposition values to convert negative values to zero, convolving a test image with a convolution kernel that corresponds to the model exponential function to produce toner deposition values for each pel and performing a sum operation on the toner deposition values to represent an estimate of the total toner usage for the test image when printed.

12. The system of claim 11 wherein creating the best-fit model comprises performing non-linear optimization on the total toner usage estimate to determine the best model parameters and comparing the total toner usage estimate and the quantity of toner used to print the test image.

13. A printer comprising a control unit to characterize a range of spatial frequencies at a printer, wherein each spatial frequency correlates with a measured weight of toner, create a best-fit model between the printer characterization and a model exponential function, receive a print job at the printer and estimate a quantity of toner to be used to print the print job by processing each image of each page of the print job with the best-fit model, wherein creating the best-fit model comprises convolving each test image with a convolution kernel that corresponds to the model exponential function to produce an initial toner usage estimate for each pel.

14. The printer of claim 13 wherein characterizing the range of spatial frequencies is performed by analyzing a quantity of toner used to print one or more test images.

15. The printer of claim 14 wherein creating the best-fit model comprises inverting printed pixels (pels) for each of the one or more to a value of 1.

16. The printer of claim 13 wherein creating the best-fit model further comprises applying a correction to the toner usage deposition values to convert negative values to zero.

17. The printer of claim 16 wherein creating the best-fit model further comprises performing a sum operation on the toner deposition values to represent an estimate of the total toner usage for the test image when printed.

18. The printer of claim 17 wherein creating the best-fit model further comprises performing non-linear optimization on the total toner usage estimate to determine the best model parameters.